27283953909268 has 96 divisors (see below), whose sum is σ = 58685179392000. Its totient is φ = 10837721172096.

The previous prime is 27283953909239. The next prime is 27283953909281. The reversal of 27283953909268 is 86290935938272.

It is a super-3 number, since 3×27283953909268³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27283953909268.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63521155 + ... + 63949237.

It is an arithmetic number, because the mean of its divisors is an integer number (611303952000).

Almost surely, 2^{27283953909268} is an apocalyptic number.

27283953909268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27283953909268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29342589696000).

27283953909268 is an abundant number, since it is smaller than the sum of its proper divisors (31401225482732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27283953909268 is a wasteful number, since it uses less digits than its factorization.

27283953909268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430709 (or 430707 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 73.

The spelling of 27283953909268 in words is "twenty-seven trillion, two hundred eighty-three billion, nine hundred fifty-three million, nine hundred nine thousand, two hundred sixty-eight".